Board Thread:Pokémon Help/@comment-34176387-20180204210527/@comment-31267872-20180208223407

I wish the daycare was easier. Before you pick your Pokémon up, when they ask if you wanted them to learn a move, I wish they let you choose which moves to be replaced with what moves.

But on-topic, they will not evolve in the daycare via level-up (if that's how they usually do). You'll have to actually level them up yourself, and if they go to evolving level or are past evolving level, your Pokémon will evolve.